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Re: A bug in Show[]?

• To: mathgroup at smc.vnet.net
• Subject: [mg88570] Re: [mg88559] A bug in Show[]?
• From: Carl Woll <carlw at wolfram.com>
• Date: Fri, 9 May 2008 03:21:19 -0400 (EDT)
• References: <200805080815.EAA14372@smc.vnet.net>

Alexey Popkov wrote:

>Hello,
>Consider the following combined plot:
>
>model[i_] := Log[i] - Log[i - 1];
>Show[Plot[(model[ii]), {ii, 2, 51}],
> ListPlot[Table[{im, model[im]}, {im, 2, 51}]], PlotRange -> All]
>
>You may see that a part of first Plot is absent. It is easily to
>demonstrate that only a part of Plot that is not shown without the
>option "PlotRange -> All" is absent:
>
>Show[Plot[(model[ii]), {ii, 2, 51}],
> ListPlot[Table[{im, model[im]}, {im, 2, 51}]]]
>
>The workaround is to put this option inside first Plot[] instead
>outside of those:
>
>Show[Plot[(model[ii]), {ii, 2, 51}, PlotRange -> All],
> ListPlot[Table[{im, model[im]}, {im, 2, 51}]]]
>
>But in documentation for Show[] one can read: "Options explicitly
>specified in Show override those included in the graphics
>expression.". Thus this is a bug in Show[]!
>
>Moreover placing this option inside the second command ListPlot[] has
>no result at all (the option is ignored):
>
>Show[Plot[(model[ii]), {ii, 2, 51}],
> ListPlot[Table[{im, model[im]}, {im, 2, 51}], PlotRange -> All]]
>
>But according to the documentation "The lists of non-default options
>in the Subscript[g, i] are concatenated.". Thus it seems to be the
>second bug in Show[]!
>  
>
The documentation says:

Show can be used with Graphics and Graphics3D.

So, Show can override the options in Graphics and Graphics3D objects. 
Now Plot isn't a Graphics object until it is evaluated, and the options 
to Plot will determine what kind of Graphics object is created. In this 
case, the Graphics object created when using PlotRange->Automatic is 
different from the Graphics object created when using PlotRange->All. 
Basically, more points are included in the Line primitive in the 
Graphics object when Plot is used with the PlotRange->All option. 
Changing the PlotRange option of a graphic created using the 
PlotRange->Automatic option will not cause these additional points to 
magically appear.

Carl Woll
Wolfram Research

• References:
  • A bug in Show[]?
    • From: Alexey Popkov <popkov@gmail.com>